Cai goes to a store and buys an item that costs x dollars. He has a coupon for 10% off, and then a 5% tax is added to the discounted price. Write an expression in terms of x that represents the total amount that Cai paid at the register.Answer:
Q. Cai goes to a store and buys an item that costs x dollars. He has a coupon for 10% off, and then a 5% tax is added to the discounted price. Write an expression in terms of x that represents the total amount that Cai paid at the register.Answer:
Calculate Discount Amount: Calculate the discount amount.To find the discount, multiply the original price x by the discount rate (10% or 0.10).Discount = x×0.10
Subtract Discount from Original Price: Subtract the discount from the original price to get the discounted price.Discounted price = x−(x×0.10)Simplify the expression.Discounted price = x−0.10xDiscounted price = 0.90x
Calculate Tax Amount: Calculate the tax amount on the discounted price.To find the tax, multiply the discounted price by the tax rate (5% or 0.05).Tax =0.90x×0.05
Add Tax to Discounted Price: Add the tax to the discounted price to get the total amount paid.Total amount paid = Discounted price + TaxTotal amount paid =0.90x+(0.90x×0.05)Simplify the expression.Total amount paid =0.90x+0.045xTotal amount paid =0.945x